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Finding the Fourth Proportional to 542.50, 745.50 and 431.78

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Solution

The fourth proportional to 542.50, 745.50 and 431.78 is: 593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 745.50 = 431.78 : x
  2. Step 2: Convert to fraction form
    542.50/745.50 = 431.78/x
  3. Step 3: Cross multiply
    542.50x = 745.50 × 431.78
  4. Step 4: Simplify right side
    542.50x = 321,891.34
  5. Step 5: Solve for x
    x = 321,891.34/542.50
  6. Step 6: Final answer
    x = 593.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.